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Finding the Fourth Proportional to 10,159.29, 14,037.84 and 7,821.63

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Solution

The fourth proportional to 10,159.29, 14,037.84 and 7,821.63 is: 10,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.29 : 14,037.84 = 7,821.63 : x
  2. Step 2: Convert to fraction form
    10,159.29/14,037.84 = 7,821.63/x
  3. Step 3: Cross multiply
    10,159.29x = 14,037.84 × 7,821.63
  4. Step 4: Simplify right side
    10,159.29x = 109,798,790.48
  5. Step 5: Solve for x
    x = 109,798,790.48/10,159.29
  6. Step 6: Final answer
    x = 10,807.72

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